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Parameterized quantum circuits have been extensively used as the basis for machine learning models in regression, classification, and generative tasks.
Une propriété caractéristique des fonctions de classe 1
H. Lebesgue · 1904
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Sum of Squares Polynomial Flow, June 2019
Priyank Jaini, Kira A. Selby, and Yaoliang Yu · 1905
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Sur les fonctions de variables réelles
R. Baire · 1922
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Baire 1 functions
M. Laczkovich · 1984
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Dense quantum coding and quantum finite automata
Andris Ambainis, Ashwin Nayak, Amnon Ta-Shma, and Umesh Vazirani · 2002
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Gradient Flows
Luigi Ambrosio, Nicola Gigli, and Giuseppe Savaré · 2005
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Triangular transformations of measures
V. I. Bogachev, A. V. Kolesnikov, and K. V. Medvedev · 2005
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The learnability of quantum states
Scott Aaronson · 2007
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Optimal Transport
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Numerical Methods for Stochastic Computations: A Spectral Method Approach
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A Variational Algorithm for Quantum Neural Networks
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Variational quantum algorithms
M. Cerezo, Andrew Arrasmith, Ryan Babbush, Simon C. Benjamin, Suguru Endo, Keisuke Fujii, Jarrod R. McClean, Kosuke Mitarai, Xiao Yuan, Lukasz Cincio, and Patrick J. Coles · 2021
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Normalizing Flows: An Introduction and Review of Current Methods
I. Kobyzev, S. D. Prince, and M. A. Brubaker · 2021
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One qubit as a Universal Approximant
Adrián Pérez-Salinas, David López-Núñez, Artur García-Sáez, P. Forn-Díaz, and José I. Latorre · 2021
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Variational Quantum Generators: Generative Adversarial Quantum Machine Learning for Continuous Distributions
Jonathan Romero and Alán Aspuru-Guzik · 2021
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Jin-Guo Liu and Lei Wang · 2018
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The Born supremacy: quantum advantage and training of an Ising Born machine
Brian Coyle, Daniel Mills, Vincent Danos, and Elham Kashefi · 2020
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in preparation
Kevin Chen, Andrii Kurkin, Hao Wang, and Vedran Dunjko
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Effect of data encoding on the expressive power of variational quantum-machine-learning models
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Noisy intermediate-scale quantum algorithms
Kishor Bharti, Alba Cervera-Lierta, Thi Ha Kyaw, Tobias Haug, Sumner Alperin-Lea, Abhinav Anand, Matthias Degroote, Hermanni Heimonen, Jakob S. Kottmann, Tim Menke, Wai-Keong Mok, Sukin Sim, Leong-Chuan Kwek, and Alán Aspuru-Guzik · 2022
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